Stopping criteria for mixed finite element methods
Mario Arioli and Daniel Loghin∗
School of Mathematics University of Birmingham Edgbaston, Birmingham BS15 2TT
d.loghin@bham.ac.uk
ABSTRACT
Black-box stopping criteria employed by Krylov-type solvers can be shown to be often wasteful and irrelevant to finite element practice. The concept of energy-norm as suitable stopping criterion – now classical in the context of CG convergence – is also applicable to non-symmetric iterations. In particular, the norm induced by the finite element application can be used to indicate convergence of Krylov-type solvers. The main issues here are the cheap and accurate estimation of such criteria.
